A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression ANOVA shows the following results: What is the value of the coefficient of determination?
A)−0.9513
B)0.9754
C)0.6319
D)0.9513

Question

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression ANOVA shows the following results:  What is the value of the coefficient of determination?
A)−0.9513 
B)0.9754 
C)0.6319 
D)0.9513

Quizplus · Accepted Answer

The coefficient of determination, R-squared, is equal to 0.9049. However, since the regression is a simple linear regression with only one independent variable, the value of R-squared is also equal to the squared value of the correlation coefficient between the two variables. Therefore, the coefficient of determination is equal to 0.9513, which is the square of the correlation coefficient of 0.9754.

A Sales Manager for an Advertising Agency Believes There Is